Local Fractional Variational Yang-Laplace Method for solving local fractional partial differential Equations

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afraz homa; SABERI NADJAFI JAFAR

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Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2022 | Volume:6 | Issue:27 Page(s): 41-51

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Title

Local Fractional Variational Yang-Laplace Method for solving local fractional partial differential Equations

Author(s)

afraz homa | SABERI NADJAFI JAFAR | Issue Writer Certificate

Keywords

Local fractional calculus

Local fractional derivative

Yang-Laplace transform

Local fractional variational iteration method

Cantor sets

Abstract

In the last decade, the theory of Local fractional calculus has been successfully used to describe and solve fundamental science and engineering problems. In this article, the local fractional Yang-Laplace variational iteration method has been used for solving the local fractional partial differential equation on a cantor set. The non-differentiable exact and approximate solutions are obtained for kind of local fractional linear and nonlinear equations. It is shown that the used method is an efficient and easy method to implement for linear and nonlinear problems arising in science and engineering. In this article, we emphasize on the LFYLVM method which is a combination form of Local fractional variational iteration method and Yang-Laplace transform. Most of the obtained solutions from this method are in series form that converge rapidly to exact or approximate solutions. Illustrative examples demonstrate that the method is able to reduce the volume of computation compared to the existing classical methods.

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APA: Copy

afraz, homa, & SABERI NADJAFI, JAFAR. (2022). Local Fractional Variational Yang-Laplace Method for solving local fractional partial differential Equations. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(27 ), 41-51. SID. https://sid.ir/paper/955452/en

Vancouver: Copy

afraz homa, SABERI NADJAFI JAFAR. Local Fractional Variational Yang-Laplace Method for solving local fractional partial differential Equations. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2022;6(27 ):41-51. Available from: https://sid.ir/paper/955452/en

IEEE: Copy

homa afraz, and JAFAR SABERI NADJAFI, “Local Fractional Variational Yang-Laplace Method for solving local fractional partial differential Equations,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 27 , pp. 41–51, 2022, [Online]. Available: https://sid.ir/paper/955452/en

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